Nuprl Lemma : dM_inc_wf
∀[I:fset(ℕ)]. ∀[x:names(I)]. (<x> ∈ Point(dM(I)))
Proof
Definitions occuring in Statement :
dM_inc: <x>,
dM: dM(I),
names: names(I),
lattice-point: Point(l),
fset: fset(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
dM_inc: <x>,
dM: dM(I),
top: Top
Lemmas referenced :
free-dma-point,
dminc_wf,
names_wf,
names-deq_wf,
fset_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
because_Cache
Latex:
\mforall{}[I:fset(\mBbbN{})]. \mforall{}[x:names(I)]. (<x> \mmember{} Point(dM(I)))
Date html generated:
2016_05_18-AM-11_56_31
Last ObjectModification:
2015_12_28-PM-03_09_00
Theory : cubical!type!theory
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